Vector Lattices and Piecewise-Linear Programming.
TEXAS UNIV AT AUSTIN CENTER FOR CYBERNETIC STUDIES
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This paper exhibits a relationship between mathematical programming and the theory of vector lattices. In particular, for piecewise linear not necessarily convex programming a free vector lattice condition is shown to imply an equivalence to a linear programming problem. An extension to functions merely positively homogeneous is made as well as a vector lattice analog of the Farkas-Minkowski Theorem.
- Operations Research